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Finding the Fourth Proportional to 161.64, 243.24 and 132.96

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Solution

The fourth proportional to 161.64, 243.24 and 132.96 is: 200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.64 : 243.24 = 132.96 : x
  2. Step 2: Convert to fraction form
    161.64/243.24 = 132.96/x
  3. Step 3: Cross multiply
    161.64x = 243.24 × 132.96
  4. Step 4: Simplify right side
    161.64x = 32,341.19
  5. Step 5: Solve for x
    x = 32,341.19/161.64
  6. Step 6: Final answer
    x = 200.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.